Question

Whats a fast way to solve this??

Answer 1

The point (-2, 5) is rotated 270o counterclockwise about the origin. What is the image?

Answer 2

@JoannaBlackwelder

Answer 3

@study100

Answer 4

I say draw a triangle and find the degrees of the angle.

Answer 5

okay. so let me go ahead and do that.

Answer 6

tan(x) = 5/-2
x= tan^-1(5/-2)
x=-68.198 degrees

Answer 7

now you're trying to find tan(x+270)

tan(x+270)
tan(-68.196+270) = 0.4 = 2/5

Answer 8

@paki is this right so far?

Answer 9

how about this wsy?

Answer 10

way*

Answer 11

this is also rite one... look deep at the rotation points...

Answer 12

okay so then basing it off of what I just posted the answer would be 5,2

Answer 13

study is also rite. please proceed

Answer 14

yes it is 5,2

Answer 15

okay thanks

Answer 16

since we start out with (-2,5) and tan was =5/-2,
tan(x+3pi/2) = -cot(x) = 2/5

Answer 17

nice explanation by @study100

Answer 18

picture looks better? :D

Answer 19

yeah!! THanks guys!

Answer 20

pleasure...

Answer 21

Thank you paki :))

Answer 22

np :)